The gauge gained 559.41 points in previous three sessions to close at a record high at 34,352.79 in yesterday's session. It had also touched an intra-day lifetime high of 34,385.67 in the previous session.
Sectoral indices, led by IT, teck and metal were trading in the positive zone with gains up to 0.22 per cent. The 50-share NSE Nifty gained 35.55 points, or 0.33 per cent, to scale its lifetime high of 10,659.15. The gauge had touched an intra-day high of 10,631.20 yesterday.
Coal India soared by over 7 per cent after its board approved a hike in prices of non-coking coal for power and non-power sectors with immediate effect. The price hike would boost its revenue by Rs 1,956 crore in the remaining part of the 2017-18 fiscal.
Among other gainers, Wipro, ONGC, Tata Motors, M&M, SBI, Infosys, Hindustan Unilever, Tata Steel, HDFC Ltd, TCS, Axis Bank, Bharti Airtel, Kotak Bank and Maruti Suzuki rose up to 2 per cent.
Meanwhile, foreign portfolio investors (FPIs) bought shares worth a net Rs 692.83 crore, while domestic institutional investors (DIIs) sold shares worth Rs 206.30 crore yesterday, according to provisional exchange data.
Among other Asian markets, Hong Kong's Hang Seng gained 0.26 per cent, while Shanghai Composite Index rose 0.13 per cent in their early deals. Japan's Nikkei too edged higher 0.54 per cent.
The US Dow Jones Industrial Average, however, closed 0.05 per cent lower yesterday.
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.